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Finding the Fourth Proportional to 525.34, 783.70 and 486.64

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Solution

The fourth proportional to 525.34, 783.70 and 486.64 is: 725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.34 : 783.70 = 486.64 : x
  2. Step 2: Convert to fraction form
    525.34/783.70 = 486.64/x
  3. Step 3: Cross multiply
    525.34x = 783.70 × 486.64
  4. Step 4: Simplify right side
    525.34x = 381,379.77
  5. Step 5: Solve for x
    x = 381,379.77/525.34
  6. Step 6: Final answer
    x = 725.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.